Oscillation criteria for impulsive dynamic equations on time scales are obtained via impulsive inequality. An example is given to show that the impulses play a dominant part in the oscillations of dynamic equations on time scales.

The theory of impulsive differential equations is emerging as an important area of investigation since it is a lot richer than the corresponding theory of nonimpulsive differential equations. Many evolutionary processes in nature are characterized by the fact that at certain moments in time an abrupt change of state is experienced. That is the reason for the rapid development of the theory of i...

In this paper, we consider a class of nonlinear impulsive delay differential equations. By establishing an exponential estimate for delay differential inequality with impulsive initial condition and employing Banach fixed point theorem, we obtain several sufficient conditions ensuring the existence, uniqueness and global exponential stability of a periodic solution for nonlinear impulsive delay...

In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.

This paper is mainly concerned with feedback control systems governed by fractional impulsive evolution equations involving Riemann–Liouville derivatives in reflexive Banach spaces. We firstly give an existence and uniqueness result of mild solutions for the equations by applying the Banach’s fixed point theorem. Next, by using the Filippove theorem and the Cesari property, a new set of suffici...

Abstract This paper is devoted to the study of a class impulsive nonlinear evolution partial differential equations. We give new results about existence and multiplicity global classical solutions. The method used based on use fixed points for sum two operators. Our main will be illustrated by an application Burgers equation.

This paper studies the oscillation properties of higher order impulsive delay differential equations, and some sufficient conditions for all bounded solutions of this kind of higher order impulsive delay differential equations to be nonoscillatory are obtained by using a comparison theorem with corresponding nonimpulsive differential equations. AMS subject classification: 34C10, 34C15.

we present here, a haar wavelet method for a class of third order partial dierentialequations (pdes) arising in impulsive motion of a flat plate. we also, present adomaindecomposition method to find the analytic solution of such equations. efficiency andaccuracy have been illustrated by solving numerical examples.

This paper introduces the concept of square-mean piecewise almost periodic for impulsive stochastic processes. The existence of square-mean piecewise almost periodic solutions for linear and nonlinear impulsive stochastic differential equations is established by using the theory of the semigroups of the operators and Schauder fixed point theorem. The stability of the square-mean piecewise almos...